随着课程改革的不断深入 ,中学数学课堂教学的内容与形式不断发生新的变化 ,特别是数学研究性学习和数学建模在中学数学中的应用与发展 ,极大改变了传统中学数学教学中的“知识本位”特征 .本文是针对高一数学思维训练课时的一个教案 (两课时 ) ,设计意图是 ,把研究性学习和数 With the continuous deepening of curriculum reform, the content and form of mathematics classroom teaching in secondary schools has undergone new changes. In particular, the application and development of mathematics research learning and mathematical modeling in middle school mathematics has greatly changed the traditional middle school mathematics teaching. The “knowledge-based” feature. This article is a lesson plan (two hours) for a high school mathematics thinking training class. The design intent is to make research learning and counting